Namesakes
Eurovision Song Contest Winners:
1 winner
Cheryl Baker (a.k.a. Rita) 1981 United Kingdom 
Fictional Characters from Song Titles:
1 character
(character) Rita 1967 Lovely Rita
Fictional Characters from Television:
1 character
Rita Ortiz 1993 NYPD Blue
Harry Potter Characters:
1 character
Rita Skeeter
Hurricanes and Tropical Storms:
1 hurricane
Hurricane Rita 2005
Nobel Prize Winners:
1 medicine
(medicine) Rita Levi-Montalcini 1986
Notable Actors and Entertainers:
7 actors
Rita Hayworth 1918-1987
Rita Moreno 1931-
Rita Tushingham 1942-
Gemma Craven (a.k.a. Rita) 1950-
Lonette McKee (middle name Rita) 1954-
Rita Wilson 1956-
Rita Yahan-Farouz 1962-
Notable Musicians:
2 singers
Rita Yahan-Farouz 1962-
Rita Ora 1990-
Notable Politicians and Statespeople:
1 politician
Rita Verdonk 1955-
Notable Scientists and Inventors:
1 biologist
Rita Levi-Montalcini 1909-2012
Olympic Medalists:
2 gold, 1 silver, 1 silver/bronze
(silver) June Maston (middle name Rita) 1948 4x100 m relay
(gold) Rita Kühne 1972 4x400 m relay
(silver/bronze) Rita Wilden 1972 400 m; 4x400 m relay
(gold) Gunn-Rita Dahle Flesjå 2004 cycling - mountain bike
Oscar Award Winners:
1 actress
(actress) Rita Moreno 1962 West Side Story
Saints:
2 saints, 1 blessed
Saint Rita of Cascia 1381-1457
Saint Dulce of the Poor (middle name Rita) 1914-1992
Blessed Rita Delores Pujalte ?-1936
Tony Award Winners:
1 actress
(actress) Rita Moreno 1975 The Ritz